R-Calculus, III: Post Three-Valued Logic

Wei Li, Yuefei Sui (Autoren)

Buch | Softcover

273 Seiten

2023 | 1st ed. 2022
Springer Verlag, Singapore
978-981-19-4272-3 (ISBN)

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This third volume of the book series shows R-calculus is a Gentzen-typed deduction system which is non-monotonic, and is a concrete belief revision operator which is proved to satisfy the AGM postulates and the DP postulates. In this book, R-calculus is taken as Tableau-based/sequent-based/multisequent-based to preserve the satisfiability of the Theory/sequent/multisequent to revise, or sequent-based, to preserve the satisfiability of the sequent to revise. The R-calculi for Post and three-valued logic is given.

This book offers a rich blend of theory and practice. It is suitable for students, researchers and practitioners in the field of logic.

Wei Li, is a Professor in the School of Computer Science and Engineering, Beihang University, Beijing, China and is a member of the Chinese Academy of Sciences. Prof. Li is mostly engaged in the applied research of Computer Software and Theory, and the Internet, including programming languages, software development, artificial intelligence, and integrated circuit design. Yuefei Sui, is a Professor in the Institute of Computing Technology, Chinese Academy of Sciences, Beijing, China. His main interests include knowledge representation, applied logic and the theory of computability.

Introduction.- Many-Placed Sequents.- Modalized Three-Valued Logics.- Post three-valued logic.- R-Calculi for Post Three-valued logic.- Post Three-valued description logic.- R-calculi for Post three-valued description logic.- R-calculi for corner multisequents.- General multisequents.- R-calculi for general multisequents.

Erscheinungsdatum	21.11.2023
Reihe/Serie	Perspectives in Formal Induction, Revision and Evolution
Zusatzinfo	1 Illustrations, color; 2 Illustrations, black and white; XII, 273 p. 3 illus., 1 illus. in color.
Verlagsort	Singapore
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Informatik ► Theorie / Studium ► Künstliche Intelligenz / Robotik
Themenwelt	Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika
Schlagworte	AGM postulates • Belief Revision • Completeness • Deduction system • Description Logics • Gentzen deduction system • Logic Programming • Post three-valued logic • propositional logic • propositional modal logic • R-calculus • Semantic networks • sequent-based • soundness • Tableau and Sequents • tableau-based • Three-Valued Logic • three-valued logics
ISBN-10	981-19-4272-2 / 9811942722
ISBN-13	978-981-19-4272-3 / 9789811942723
Zustand	Neuware